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ADDING AND
SUBTRACTING
DECIMALS
SECTION 1.07
RULES
• LINE UP DECIMALS
– If you can not drop a straight line down
through your decimals, they are not lined up
correctly
– Add zeros as placeholders if needed

• BRING YOUR DECIMAL STRAIGHT DOWN
• ADD OR SUBTRACT AS USUAL
Add & Subtract like Columns

7.1 + 5.8 + 2.5 = _______
ones
RULE: Only add
and subtract
LIKE columns.

1

7.1
5.8
+ 2.5
15 . 4

tenths
Make The Columns Even
34.5 + 21 + 8.5
RULE: Add zeros to
even the columns

34.5
21.0
+ 8.5

34.5
21.0
+ 8.5
Make The Columns Even
44.589 + 7.23 + 5
3 decimal 2 decimal
columns columns

0 decimal
columns

1

1

44.589
7.230
+ 5 .000
56.819
Subtract Similar Columns
34 – 1.2 = _____

ones

tenths

34. 0
- 1. 2
32 . 8

33
FRONT-END ESTIMATION
• Adding the numbers in front of the
decimals
• Rounding the decimal numbers to the
nearest whole number
• Add the two sums
EXAMPLE
•

For your birthday you receive a $25 gift certificate. You
want to buy 2 used video games, whose prices are:
$8.79, $7.29, $ 7.89 Can you buy all 3 games using the
gift certificate?
1. Add the front-end digits
$8 + 7 + 7 = $22
2. Estimate the sum of the remaining digits (what is
behind the decimal)
.79 and .29 are about $1
.89 is about $1
$1 + $1 = $2
3. Add the results.
$22 + $2 = $24
The estimated sum is less then $25, so you can buy all 3
with your gift card.

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Add and subtract decimals step-by-step guide

  • 2. RULES • LINE UP DECIMALS – If you can not drop a straight line down through your decimals, they are not lined up correctly – Add zeros as placeholders if needed • BRING YOUR DECIMAL STRAIGHT DOWN • ADD OR SUBTRACT AS USUAL
  • 3. Add & Subtract like Columns 7.1 + 5.8 + 2.5 = _______ ones RULE: Only add and subtract LIKE columns. 1 7.1 5.8 + 2.5 15 . 4 tenths
  • 4. Make The Columns Even 34.5 + 21 + 8.5 RULE: Add zeros to even the columns 34.5 21.0 + 8.5 34.5 21.0 + 8.5
  • 5. Make The Columns Even 44.589 + 7.23 + 5 3 decimal 2 decimal columns columns 0 decimal columns 1 1 44.589 7.230 + 5 .000 56.819
  • 6. Subtract Similar Columns 34 – 1.2 = _____ ones tenths 34. 0 - 1. 2 32 . 8 33
  • 7.
  • 8. FRONT-END ESTIMATION • Adding the numbers in front of the decimals • Rounding the decimal numbers to the nearest whole number • Add the two sums
  • 9. EXAMPLE • For your birthday you receive a $25 gift certificate. You want to buy 2 used video games, whose prices are: $8.79, $7.29, $ 7.89 Can you buy all 3 games using the gift certificate? 1. Add the front-end digits $8 + 7 + 7 = $22 2. Estimate the sum of the remaining digits (what is behind the decimal) .79 and .29 are about $1 .89 is about $1 $1 + $1 = $2 3. Add the results. $22 + $2 = $24 The estimated sum is less then $25, so you can buy all 3 with your gift card.